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A206564 Fibonacci sequence beginning 14, 13. 3
14, 13, 27, 40, 67, 107, 174, 281, 455, 736, 1191, 1927, 3118, 5045, 8163, 13208, 21371, 34579, 55950, 90529, 146479, 237008, 383487, 620495, 1003982, 1624477, 2628459, 4252936, 6881395, 11134331, 18015726, 29150057, 47165783, 76315840, 123481623, 199797463 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1, 1).

FORMULA

From Andrew Howroyd, Aug 28 2018: (Start)

a(n) = a(n-1) + a(n-2) for n > 2.

a(n) = 14*Fibonacci(n) - Fibonacci(n-1).

G.f.: x*(14 - x)/(1 - x - x^2).

(End)

MATHEMATICA

LinearRecurrence[{1, 1}, {14, 13}, 80]

PROG

(MAGMA) I:=[14, 13]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..40]]; // Vincenzo Librandi, Feb 17 2012

(PARI) Vec((14 - x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018

CROSSREFS

Cf. A000045, A206605.

Sequence in context: A023456 A261305 A055125 * A076158 A174160 A199256

Adjacent sequences:  A206561 A206562 A206563 * A206565 A206566 A206567

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Feb 16 2012

STATUS

approved

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Last modified August 3 14:40 EDT 2021. Contains 346438 sequences. (Running on oeis4.)